A Particle Moving With Velocity Equal To 0.4 m/s is Subjected To An Acceleration Of  0.15 m/s2 for 2 Sec In A Direction At Right Angle To Its Direction Of Motion. What Is The Magnitude Of Resultant Velocity?

If the initial velocity of the particle is u and collinear acceleration at any time t is at, calculate the velocity of the particle after time t.

A particle moves along a straight line such that its displacement at any timet is given by s = (t³ + 6t² + 3t + 4)m. What is the velocity of the particle when its acceleration is zero?

A particle starts moving from the position of rest under a constant acc. If it travels a distance x in t sec, what distance will it travel in next t sec?

Two particles A and B move with constant velocities v₁ and v₂ along two mutually perpendicular straight lines towards the intersection point O. At moment t = 0 the particle were located at distances l₁ and l₂ from O respectively. Find the time when they are nearest and also this shortest distance.

A body starting from rest slides on an inclined plane of length s as shown in Fig. Calculate the time of descent and speed at the bottom. Find also

(a)  Distance covered in half the time of descent and (b) time taken to cover half the distance

A juggler throws balls into air. He throws one whenever the previous one is at its highest point. How high do the balls rise if the throws n balls each sec? Acceleration due to gravity is g.

A pebble is thrown vertically upwards from a bridge with an initial velocity of 4.9m/s. It strikes the water after 2s. If acc. Due to gravity is 9.8m/s² (a) what is the height of the bridge?(b) with what velocity does the pebble strike the water?